Constructing Pointed Hopf Algebras by Ore Extensions

By M. Beattie, S. Dascalescu, L. Grunenfelder. 2000

105 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/143def2f2b35170e2a6f3cd0658a23090cfe8967

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Stefaan Caenepeel
2. C. Calinescu
3. S. Dascalescu
4. Gigel Militaru
5. B. Ion
6. Claudia Menini
7. A. Masuoka
8. I. Angiono

In Discrete Mathematics and Combinatorics

1. Stefaan Caenepeel

In Geometry and Topology

1. Stefaan Caenepeel
2. C. Calinescu
3. S. Dascalescu
4. Gigel Militaru
5. B. Ion
6. Claudia Menini
7. A. Masuoka
8. I. Angiono

Citations in the corpus

• Quantum lines over non-cocommutative cosemisimple Hopf algebras (2004, methodology): “The construction of these two Hopf algebras can be also performed by a method similar to the one in [9], by taking certain Ore extensions of H8, defining Hopf algebra structures on them, which extend the Hopf algebra structure of H8, and then factoring by a certain Hopf ideal.”
• The Factorization Problem and the Smash Biproduct of Algebras and Coalgebras (2000, background): “In [ 2 ], a large class of pointed Hopf algebras is constructed, using iterated Ore extensions.”